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Finding the Fourth Proportional to 210,857.60, 290,984.20 and 115,364

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Solution

The fourth proportional to 210,857.60, 290,984.20 and 115,364 is: 159,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,857.60 : 290,984.20 = 115,364 : x
  2. Step 2: Convert to fraction form
    210,857.60/290,984.20 = 115,364/x
  3. Step 3: Cross multiply
    210,857.60x = 290,984.20 × 115,364
  4. Step 4: Simplify right side
    210,857.60x = 33,569,101,248.80
  5. Step 5: Solve for x
    x = 33,569,101,248.80/210,857.60
  6. Step 6: Final answer
    x = 159,202.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.